Category: Integration

Question Number 27187 by abdo imad last updated on 02/Jan/18 $$findI={\int }_0^{\propto }\frac{cosx}{cosh\left(x\right)}dx$$ Commented by abdo imad last updated on 08/Jan/18 $${I}=\:\int_{\mathrm{0}} ^{\infty}…

Question Number 92723 by Power last updated on 08/May/20 Answered by Rio Michael last updated on 08/May/20 $$\int \frac{dx}{\sqrt{x^2-4}}\mathrm{let}x=2\sec u$$$$\Rightarrow \frac{dx}{du}=2\sec u\tan u$$$$\Rightarrow dx=2\sec u\tan udu$$$$\:\int\frac{{dx}}{\:\sqrt{{x}^{\mathrm{2}}…

Question Number 27183 by abdo imad last updated on 02/Jan/18 $$findthevalueofI={\int }_0^1\frac{t-1}{lnt}dt.$$ Answered by prakash jain last updated on 03/Jan/18 $${F}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}}…

Question Number 27182 by abdo imad last updated on 02/Jan/18 $$findthevalueof{I}_a=\int {\int }_{D_a}{e}^{-\frac{x^2+y^2}{2}}dxdywith$$$${D}_{{a}} \:=\left\{\left({x},{y}\right)\in\mathbb{R}^{\mathrm{2}} \:/\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant\:{a}^{\mathrm{2}} \:\:\right\} \…

Question Number 27180 by abdo imad last updated on 02/Jan/18 $$findthevalueof\int {\int }_D\frac{x^2}{y^2}dxdywith$$$$D=\{(x,y)\in {\mathbb{R}}^2/1⩽x⩽2and\frac{1}{x}⩽y⩽x\}.$$ Commented by abdo imad last updated…